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Finding the Fourth Proportional to 67.05, 92.50 and 42.17

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Solution

The fourth proportional to 67.05, 92.50 and 42.17 is: 58.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 92.50 = 42.17 : x
  2. Step 2: Convert to fraction form
    67.05/92.50 = 42.17/x
  3. Step 3: Cross multiply
    67.05x = 92.50 × 42.17
  4. Step 4: Simplify right side
    67.05x = 3,900.05
  5. Step 5: Solve for x
    x = 3,900.05/67.05
  6. Step 6: Final answer
    x = 58.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.